# Negative numbers and opposite numbers

### Negative numbers and opposite numbers

#### Lessons

• Negative numbers: any numbers to the left of zero on a number line.
• Numbers increase in value as we move up/right on a number line.
• Opposite numbers: numbers with the same distance from 0, but on the opposite side of a number line.
• To find an opposite number, we attach a negative sign to the given number.
• Two LIKE signs give a positive sign.
• Two UNLIKE signs give a negative sign.
• Introduction
Introduction to Negative Numbers and Opposite Numbers
a)
What is a negative number?

b)
What is an opposite number?

c)
How to find an opposite number algebraically?

• 1.
Understanding Negative Numbers
For each of the following pair of integers, which integer has a greater value?
a)
$-8$ and $-2$

b)
$0$ and $-3$

• 2.
Analyzing Opposite Numbers
Fill in the following table:
a)
 Scenario Opposite of the Scenario Description Number Description Number Billy lost \$5

b)
 Scenario Opposite of the Scenario Description Number Description Number Sylvia's flight was delayed by 2 hours.

c)
 Scenario Opposite of the Scenario Description Number Description Number Tim bought 3 cupcakes.

• 3.
Solving Opposite Numbers Graphically and Algebraically
Find the opposite of the given numbers:
i. Graphically (using a number line)
ii. Algebraically
a)
$7$

b)
$-4$

c)
$0$